Let Γ be a finite connected locally primitive Cayley graph of an abelian group.It is shown that one of the following holds:(1) Γ = Kn,Kn,n,Kn,n-nK2,Kn ×···× Kn;(2) Γ is the standard double ...Let Γ be a finite connected locally primitive Cayley graph of an abelian group.It is shown that one of the following holds:(1) Γ = Kn,Kn,n,Kn,n-nK2,Kn ×···× Kn;(2) Γ is the standard double cover of Kn ×···× Kn ;(3) Γ is a normal or a bi-normal Cayley graph of an elementary abelian or a meta-abelian 2-group.展开更多
基金supported by National Natural Science Foundation of China (Grant Nos.10771132,11071210)Australia Research Council Discovery Grant
文摘Let Γ be a finite connected locally primitive Cayley graph of an abelian group.It is shown that one of the following holds:(1) Γ = Kn,Kn,n,Kn,n-nK2,Kn ×···× Kn;(2) Γ is the standard double cover of Kn ×···× Kn ;(3) Γ is a normal or a bi-normal Cayley graph of an elementary abelian or a meta-abelian 2-group.
